3354193152 has 162 divisors, whose sum is σ = 10047444498. Its totient is φ = 1117504512.

The previous prime is 3354193151. The next prime is 3354193229. The reversal of 3354193152 is 2513914533.

3354193152 is a `hidden beast` number, since 33 + 541 + 9 + 31 + 52 = 666.

3354193152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1941636096 + 1412557056 = 44064^2 + 37584^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is a super-2 number, since 2×3354193152² = 22501223401847390208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354193151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1678618 + ... + 1680614.

Almost surely, 2^3354193152 is an apocalyptic number.

3354193152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3354193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023722249).

3354193152 is an abundant number, since it is smaller than the sum of its proper divisors (6693251346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3354193152 is an frugal number, since it uses more digits than its factorization.

3354193152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2002 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 3354193152 is about 57915.3965021392. The cubic root of 3354193152 is about 1496.9111476937.

The spelling of 3354193152 in words is "three billion, three hundred fifty-four million, one hundred ninety-three thousand, one hundred fifty-two".